Question

10.4 is 15.1% of what number?

Answer 1

68.87 approx

Explanation:

Let the number be n, and transform the percentage 15.1% into the decimal fraction 0.151.

Then 0.151n = 10.4.

Dividing both sides by 0.151 to isolate n, we get:

n = 10.4/0.151 = 68.87 approx

Answer 2

68.87

Explanation:

`p\%=(p)/(100)\\\\15.1\%=(15.1)/(100)=0.151\\\\n-\text{a number}\\\\15.1\%\ \text{of}\ n\ \text{is}\ 10.4\Rightarrow0.151n=10.4\qquad\text{divide both sides by 0.151}\\\\(0.151n)/(0.151)=(10.4)/(0.151)\\\\n\approx68.87`